JAMB Mathematics 1990 Question 8

Question 8

Surds

Simplify √(160r2 + √(71r4 + √(100r8)))

  1. A.9r2
  2. B.12√3r
  3. C.13r
  4. D.√13r
Show the answer and explanation

Answer: C (13r)

Explanation

Work from the inside: √(100r8) = 10r4, then √(71r4 + 10r4) = √(81r4) = 9r2, then √(160r2 + 9r2) = √(169r2) = 13r.